GCD of 820, 128, 808, 115 Calculator

Given Input numbers are 820, 128, 808, 115

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 820, 128, 808, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 128, 808, 115 is 1.

Therefore, GCD of numbers 820, 128, 808, 115 is 1

Given Input Data is 820, 128, 808, 115

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 115 is 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(820, 128) = 26240

GCD(820, 128) = ( 820 x 128 ) / 26240

GCD(820, 128) = 104960 / 26240

GCD(820, 128) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 808

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 808) = 808

GCD(4, 808) = ( 4 x 808 ) / 808

GCD(4, 808) = 3232 / 808

GCD(4, 808) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 115

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 115) = 460

GCD(4, 115) = ( 4 x 115 ) / 460

GCD(4, 115) = 460 / 460

GCD(4, 115) = 1

GCD of 820, 128, 808, 115 is 1

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1. What is the GCD of 820, 128, 808, 115?

GCD of 820, 128, 808, 115 is 1

2. Where do I get the detailed procedure to find GCD of 820, 128, 808, 115?

You can find a detailed procedure to find GCD of 820, 128, 808, 115 on our page.

3. How to find GCD of 820, 128, 808, 115 on a calculator?

You can find the GCD of 820, 128, 808, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.